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Misha Larkins [42]
3 years ago
7

Evaluate. (1/4)^−2−(5^0⋅2)⋅1^−1 Enter your answer in the box. HELP! 100 POINTS!

Mathematics
2 answers:
Ymorist [56]3 years ago
5 0

Answer:

\Huge \boxed{\mathrm{14}}

\rule[225]{225}{2}

Step-by-step explanation:

(\frac{1}{4} )^{-2} - (5^0) (2)(1^{-1})

Solving for exponents and multiplying:

(4 )^{2} - (1) (2)(1)

16-2

Subtracting:

\Rightarrow \ 14

\rule[225]{225}{2}

Anna [14]3 years ago
3 0

Answer:

\huge\boxed{14}

Step-by-step explanation:

\sf (\frac{1}{4} )^{-2} - (5^0 * 2 )* (1^{-1})

Using law of exponents a^0 = 1 and 1/a^m = a^{-m}

=> 4^2 - (1*2)*(1)

=> 16 - 2

=> 14

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Christopher made 3 1/4 dozen cupcakes. He added vanilla icing to 1/3 of the cupcakes and added chocolate icing to the rest. How
Arada [10]
1 dozen = 12

First you would multiply.

3.25 x 12 = 39 cupcakes total
1/3 x 12 = 4 cupcakes with vanilla icing

Then you subtract.

39 - 4 = 35 cupcakes with chocolate icing

Then to get the answer back in to terms of dozens, divide by 12.

35/12 = 2 11/12

Hope this helped
6 0
3 years ago
Read 2 more answers
(10pts) Ivan bought three games and paid $65 for all three. The second game was 50% more expensive than the first one. The price
lutik1710 [3]

We are required to find the price of the first game

The price of the first game is $20

Given:

let

price of the first game = x

price of the second game = x + 50% of x

= x + 0.5x

= 1.5x

Price of the third game = 50% of 1.5x

= 0.5 × 1.5x

= 0.75x

Total cost of game = $65

<em>Total cost of game = price of the first game + price of the second game + Price of the third game</em>

65 = x + 1.5x + 0.75x

65 = 3.25x

divide both sides by 3.25

x = 65 ÷ 3.25

x = 20

Therefore, the price of the first game is $20

Read more:

brainly.com/question/291220

3 0
3 years ago
a scientist was in a submarine, 83.1 feet below sea level, studying ocean life. over the next 10 minutes she ascended 70.8 feet.
mariarad [96]
The answer is 12.3 ft below sea level.

Because she is ascending (going up), 83.1 - 70.8 = 12.3 Ft
7 0
4 years ago
If x =-7 find value of these expression
Oksana_A [137]
X=1 because -7 times 1 = -7
6 0
4 years ago
The explicit rule for the arithmetic sequence shown in the graph is a↓n=9.5+2(n-1)
Virty [35]

Answer:

True.

Step-by-step explanation:

The explicit form for an arithmetic sequence is:

a_n=a_1+d(n-1)

where a_1 is the first term and d is the common difference.

The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.

Yes, the common difference is the slope.

So we have d=2.

The first term is 9.5 because that is what happens when x=1.

x is n.

y is a_n.

So the answer is true.

----

You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:

Let n=1:

a_1=9.5+2(1-1)

a_1=9.5+2(0)

a_1=9.5+0

a_1=9.5

Let n=2:

a_2=9.5+2(2-1)

a_2=9.5+2(1)

a_2=9.5+2

a_2=11.5

Let n=3:

a_3=9.5+2(3-1)

a_3=9.5+2(2)

a_3=9.5+4

a_3=13.5

Let n=4:

a_4=9.5+2(4-1)

a_4=9.5+2(3)

a_4=9.5+6

a_4=15.5

Let n=5:

a_5=9.5+2(5-1)

a_5=9.5+2(4)

a_5=9.5+8

a_5=17.5

Let n=6:

a_6=9.5+2(6-1)

a_6=9.5+2(5)

a_6=9.5+10

a_6=19.5

We have confirmed that we get all 6 of the mentioned points using the equation they gave.

5 0
3 years ago
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